Fill in the blank. <br><br><br>When h=______, the parabola will translate right 5 units.<br>

A pool measuring 20 meters by 28 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the po

krok68 [10]

X= width of the path.
we can suggest this equation:

(20+2x)(28+2x)=1584

we solve this equation:
(20+2x)(28+2x)=1584
560+40x+56x+4x²=1584
4x²+96x-1024=0
4/4x²+96/4x-1024/4=0/4
x²+24x-256=0

We solve this square equation:

x=[-24⁺₋√(576+1024)]/2=(-24⁺₋40)/2
we have two solutions:
x₁=(-24-40)/2=-32 this solution is not valid.
x₂=(-24+40)/2=8

Answer: the width of the path is 8 m.

7 0

3 years ago

Jason's football team lost 6 yards from their starting position and then lost another 5 yards. What number represents a loss of

aivan3 [116]

A loss of 6 yds = - 6
a loss of 5 yds = - 5

7 0

3 years ago

A survey was conducted that asked 1011 people how many books they had read in the past year. results indicated that x overbarequ

Tcecarenko [31]

Since we do not know the population standard deviation, we will use the t-distribution to construct the 90% confidence interval of the mean number of books people read. The value of $t_{\frac{\alpha }{2}}$ with 1010 degrees of freedom and with alpha equals to 0.10 is 1.64

First, we need to solve for the margin of error, E.
$E=t_{\frac{\alpha }{2}}\cdot \frac{s}{\sqrt{n}}=1.64\cdot \frac{16.6}{\sqrt{1011}}=0.86$

The lower bound of the confidence interval is
$LB=\overline{x}-E=14.8-0.86=13.94$

The upper bound of the confidence interval is
$LB=\overline{x}+E=14.8+0.86=15.66$

Therefore, the 90% confidence interval is (13.94, 15.66).

We are 90% confident that the interval from 13.94 books to 15.66 books does contain the true value of the population mean number of books people read.

4 0

4 years ago

Help please this is khan academy

IRISSAK [1]

Answer:

9800 cm^2

Step-by-step explanation:

The area of a square is just the length of one of the sides squared. In the first image it's given that one of the sides is 70 cm and the shape is also a square pyramid so the base is going to be a square. So the area the base is (70 cm) ^ 2 = 4,900 cm^2. The area of a triangle is 1/2 bh. The base is given in the first image which is 70 cm and the height is also given which is 140 cm. This gives you the equation 0.5 * 140 cm * 70 cm = 4900 cm^2. Adding these two values gives you 9800 cm^2

6 0

2 years ago

If a pie chart were to be made showing the preference for each flavor, the central angle for the chocolate ice cream sector woul

DochEvi [55]

Answer:

I'm afraid I need more info. I need statistics, what other flavors there are, etc.

Step-by-step explanation:

4 0

3 years ago

Fill in the blank. When h=______, the parabola will translate right 5 units.​

Fill in the blank. When h=______, the parabola will translate right 5 units.